3 papers
math.GR2018
Cancellable elements of the lattices of varieties of semigroups and epigroups
V. Yu. Shaprynskii, D. V. Skokov, B. M. Vernikov
We completely determine all semigroup [epigroup] varieties that are cancellable elements of the lattice of all semigroup [respectively epigroup] varieties.
math.GR2018
Cancellable elements of the lattice of epigroup varieties
Dmitry V. Skokov
We completely determine all commutative epigroup varieties that are cancellable elements of the lattice EPI of all epigroup varieties. In particular, we verify that a commutative e…
math.GR2017
On modular and cancellable elements of the lattice of semigroup varieties
Dmitry V. Skokov, Boris M. Vernikov
We completely determine all semigroup varieties satysfiyng a permutational identity of length 3 that are modular elements of the lattice of all semigroup varieties. Using this resu…